Combining Texts

All the ideas for 'To be is to be the value of a variable..', 'Distinct Indiscernibles and the Bundle Theory' and 'A Critique of Utilitarianism'

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19 ideas

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / a. Sets as existing
The use of plurals doesn't commit us to sets; there do not exist individuals and collections [Boolos]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Does a bowl of Cheerios contain all its sets and subsets? [Boolos]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Monadic second-order logic might be understood in terms of plural quantifiers [Boolos, by Shapiro]
Boolos showed how plural quantifiers can interpret monadic second-order logic [Boolos, by Linnebo]
Any sentence of monadic second-order logic can be translated into plural first-order logic [Boolos, by Linnebo]
5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
Identity is clearly a logical concept, and greatly enhances predicate calculus [Boolos]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
Second-order quantifiers are just like plural quantifiers in ordinary language, with no extra ontology [Boolos, by Shapiro]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
We should understand second-order existential quantifiers as plural quantifiers [Boolos, by Shapiro]
Plural forms have no more ontological commitment than to first-order objects [Boolos]
5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification
Boolos invented plural quantification [Boolos, by Benardete,JA]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / b. Commitment of quantifiers
First- and second-order quantifiers are two ways of referring to the same things [Boolos]
8. Modes of Existence / D. Universals / 3. Instantiated Universals
An immanent universal is wholly present in more than one place [Zimmerman,DW]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
If only two indiscernible electrons exist, future differences must still be possible [Zimmerman,DW]
Discernible differences at different times may just be in counterparts [Zimmerman,DW]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
Maybe the unthinkable is a moral category, and considering some options is dishonourable or absurd [Williams,B]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
Consequentialism assumes that situations can be compared [Williams,B]
For a consequentialist massacring 7 million must be better than massacring 7 million and one [Williams,B]
23. Ethics / D. Deontological Ethics / 3. Universalisability
We don't have a duty to ensure that others do their duty [Williams,B]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
Utilitarianism cannot make any serious sense of integrity [Williams,B]